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Finding the Fourth Proportional to 434,909.70, 652,364.55 and 419,163.30

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Solution

The fourth proportional to 434,909.70, 652,364.55 and 419,163.30 is: 628,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,909.70 : 652,364.55 = 419,163.30 : x
  2. Step 2: Convert to fraction form
    434,909.70/652,364.55 = 419,163.30/x
  3. Step 3: Cross multiply
    434,909.70x = 652,364.55 × 419,163.30
  4. Step 4: Simplify right side
    434,909.70x = 273,447,277,581.02
  5. Step 5: Solve for x
    x = 273,447,277,581.02/434,909.70
  6. Step 6: Final answer
    x = 628,744.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.